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Finding the Fourth Proportional to 82,783,007,785.80, 124,174,511,678.70 and 82,783,007,785.80

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Solution

The fourth proportional to 82,783,007,785.80, 124,174,511,678.70 and 82,783,007,785.80 is: 124,174,511,678.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,783,007,785.80 : 124,174,511,678.70 = 82,783,007,785.80 : x
  2. Step 2: Convert to fraction form
    82,783,007,785.80/124,174,511,678.70 = 82,783,007,785.80/x
  3. Step 3: Cross multiply
    82,783,007,785.80x = 124,174,511,678.70 × 82,783,007,785.80
  4. Step 4: Simplify right side
    82,783,007,785.80x = 10,279,539,567,095,734,861,824
  5. Step 5: Solve for x
    x = 10,279,539,567,095,734,861,824/82,783,007,785.80
  6. Step 6: Final answer
    x = 124,174,511,678.70

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.